Geodesic
Regularization method for solving the quasi-stationary Maxwell equations in an inhomogeneous conducting medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 564-576

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Nedelec vector finite elements are used for the numerical solution of a regularized version of the quasi-stationary Maxwell equations written in terms of a scalar and a vector magnetic potential with special calibration taking into account the conductivity of the medium. An optimal energy estimate for the error of the approximate solution in Lipschitz polyhedral domains is established. Numerical results are presented that demonstrate the stability of the method. 
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     author = {M. I. Ivanov and I. A. Kremer and M. V. Urev},
     title = {Regularization method for solving the quasi-stationary {Maxwell} equations in an~inhomogeneous conducting medium},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {52},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a13/}
}
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M. I. Ivanov; I. A. Kremer; M. V. Urev. Regularization method for solving the quasi-stationary Maxwell equations in an inhomogeneous conducting medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 564-576. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a13/